Remark 3.4 
As stated in Remark REF , the Stokes data of the
tt*-Toda connection is the same as the Stokes data of the
holomorphic connection, and so the formula in Theorem REF 
applies also to the
holomorphic connection.
Although the condition \(k_i=k_{n-i+1}\)  was
imposed in [1]}, the proof of the formula in Theorem REF 
makes no use of this condition; it remains valid for arbitrary \(k_i>-1\) .
We shall need this fact in sections  and .
\(\Box \)

